• Title/Summary/Keyword: single equation

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A PREDICTOR-CORRECTOR SCHEME FOR THE NUMERICAL SOLUTION OF THE BOUSSINESQ EQUATION

  • Ismail, M.S.;Bratsos, A.G.
    • Journal of applied mathematics & informatics
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    • v.13 no.1_2
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    • pp.11-27
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    • 2003
  • A fourth order in time and second order in space scheme using a finite-difference method is developed for the non-linear Boussinesq equation. For the solution of the resulting non-linear system a predictor-corrector pair is proposed. The method is analyzed for local truncation error and stability. The results of a number of numerical experiments for both the single and the double-soliton waves are given.

A LINEARIZED FINITE-DIFFERENCE SCHEME FOR THE NUMERICAL SOLUTION OF THE NONLINEAR CUBIC SCHRODINGER EQUATION

  • Bratsos, A.G.
    • Journal of applied mathematics & informatics
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    • v.8 no.3
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    • pp.683-691
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    • 2001
  • A linearized finite-difference scheme is used to transform the initial/boundary-value problem associated with the nonlinear Schrodinger equation into a linear algebraic system. This method is developed by replacing the time and the nonlinear term by an appropriate parametric linearized scheme based on Taylor’s expansion. The resulting finite-difference method is analysed for stability and convergence. The results of a number of numerical experiments for the single-soliton wave are given.

Conversion Equation dB (Rion) to PPV(cm/sec) (dB과 cm/sec간의 환산실험식)

  • Huh Ginn
    • Explosives and Blasting
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    • v.9 no.2
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    • pp.3-7
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    • 1991
  • The Problem of vibration Inflence to housing Construction fields has arised at the begining of 1970, at That time I used Lion(VM -l2B) which recorded only dB Demension. On the 1980's I have been used lnstantel made blastemate(DS-477), modern Instrument for measuring speed, Acc, frequency and placement. but The most of Jobsite used Lion I Carried out the empirical equation of conversion dB to cm /sec as follows. Single free face : dB = 140PPV + 30 double free face : dB = 143PPV + 20 Above equation Could apply on Rock type 3(soft rock)

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Heat Transfer of an Evaporating Liquid on a Horizontal Plate

  • Joo, Sang-Woo;Park, Min-Soo;Kim, Min-Suk
    • Journal of Mechanical Science and Technology
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    • v.19 no.8
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    • pp.1649-1661
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    • 2005
  • We consider. a horizontal static liquid layer on a planar solid boundary. The layer is evaporating when the plate is heated. Vapor recoil and thermo-capillary are discussed along with the effect of mass loss and vapor convection due to evaporating liquid and non-equilibrium thermodynamic effects. These coupled systems of equations are reduced to a single evolution equation for the local thickness of the liquid layer by using a long-wave asymptotics. The partial differential equation is solved numerically.

Assessment of Available Coastal Groundwater Resources Using Strack's Single-potential Analytical Solution (Strack의 단일 포텐셜 해석해를 이용한 해안지하수 개발가능량 평가)

  • Cui, Lei;Lee, Chang-Hae;Park, Nam-Sik
    • Journal of Korea Water Resources Association
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    • v.41 no.1
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    • pp.27-34
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    • 2008
  • Groundwater development in coastal areas induces saltwater intrusion. In many cases amount of groundwater resources available for development is limited by a pre-specified limit of additional saltwater intrusion. In this paper a simple equation is developed to assess available groundwater resources which depends on the constraint of acceptable additional saltwater intrusion. Strack#s single-potential analytical solution is used to derive the equation. Available groundwater increases as more additional intrusion is allowed. However, critical points limit both the maximum pumping rate and the allowed saltwater intrusion limit. The equation is presented in the form of design curves from which the maximum pumping rate can be read off quickly. The equation and the design curves are suitable for preliminary estimation of available groundwater resources in coastal areas.

Simulation of Two-Phase Fluid Flow in a Single Fracture Surrounding an Underground LPG Storage Cavern: I. Numerical Model Development and Parallel Plate Test (지하 LPG 저장공동에 인접한 단일절리에서의 이상유체거동해석: I. 수치모형의 개발 및 모형실험)

  • Han, Il-Yeong;Seo, Il-Won
    • Journal of Korea Water Resources Association
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    • v.34 no.5
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    • pp.439-448
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    • 2001
  • A two-dimensional finite difference numerical model was developed in order to simulate two-phase fluid flow in a single fracture. In the model, variation of viscosity with pressure and that of relative permeability with water saturation can be treated. For the numerical solution, IMPES method was used, from which the pressure and the saturation of water and gas were computed one by one. Seven cases of model test using parallel plates for a single fracture were performed in order to obtain the characteristic equation of relative permeability which would be used in the numerical model. it was difficult to match the characteristic curves of relative permeability from the model tests with the existing emperical equations, consequently a logistic equation was proposed. As the equation is composed of the parameters involving aperture size, it can be applied to any fracture.

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Elastic Analysis of an Unbounded Elastic Solid with an Inclusion Considering Composite Fiber Volume Fraction (섬유 체적분율을 고려한, 단일의 함유체를 포함한 무한고체에서의 탄성해석)

  • Lee, Jung-Ki;Han, Hui-Duck
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.1 s.256
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    • pp.89-96
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    • 2007
  • A volume integral equation method (VIEM) is applied for the effective analysis of plane elastostatic problems in unbounded solids containing single isotropic inclusion of two different shapes considering composite fiber volume fraction. Single cylindrical inclusion and single square cylindrical inclusion are considered in the composites with six different fiber volume fractions (0.25, 0.30, 0.35, 0.40, 0.45, 0.50). Using the rule of mixtures, the effective material properties are calculated according to the corresponding composite fiber volume fraction. The analysis of plane elastostatic problems in the unbounded effective material containing single fiber that covers an area corresponding to the composite fiber volume fraction in the bounded matrix material are carried out. Thus, single fiber, matrix material with a finite region, and the unbounded effective material are used in the VIEM models for the plane elastostatic analysis. A detailed analysis of stress field at the interface between the matrix and the inclusion is carried out for single cylindrical or square cylindrical inclusion. Next, the stress field is compared to that at the interface between the matrix and the single inclusion in unbounded isotropic matrix with single isotropic cylindrical or square cylindrical inclusion. This new method can also be applied to general two-dimensional elastodynamic and elastostatic problems with arbitrary shapes and number of inclusions. Through the analysis of plane elastostatic problems, it will be established that this new method is very accurate and effective for solving plane elastic problems in unbounded solids containing inclusions considering composite fiber volume fraction.

A Structural Equation Modeling on Reproductive Health Promoting Behavior of Unmarried Women: Based on the Theory of Planned Behavior (계획된 행위이론을 기반으로 한 미혼여성의 생식건강증진행위 구조모형)

  • Ji, Eun Mi;Choi, So Young;Je, Nam Joo
    • Women's Health Nursing
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    • v.22 no.4
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    • pp.210-220
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    • 2016
  • Purpose: The purpose of this study was to construct and test a structural equation modeling on the reproductive health behavior of single women with sexual experiences. This study employed Ajzen's Theory of Planned Behavior (TPB). Methods: The data were collected after receipt of consent from 250 single women with sexual experiences, and analyzed using SPSS 18.0 and AMOS 18.0. Results: Model fit indices for the hypothetical model were suitable for the recommended level: $x^2=362.407$, RMR=0.065, RMSEA=0.070, GFI=0.867. TLI=0.927, CFI=0.938, IFI=0.939, and $x^2/dF=2.237$. Intention showed direct effect with the biggest effect being on reproductive health behavior. Attitude, subjective norm and perceived behavioral control were found to have a direct effect on intention. Among them, perceived behavioral control revealed the largest influence. Conclusion: This study suggests that the TPB is a suitable model in explaining the reproductive health behavior of single women with sexual experience. Strategic plans for educational and intervention programs should be aimed to encourage single women to engage in reproductive health behavior.

Prediction of Shielding Effectiveness in Honeycomb Structure Using the Modified Design Equation (수정된 설계 방정식을 이용한 허니컴 구조의 차폐 효과 예측)

  • Lee Kyung-Won;Cheong Yeong-Chul;Hong Ic-Pyo;Yook Jong-Gwan
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.16 no.9 s.100
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    • pp.862-871
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    • 2005
  • In this paper, the modified design equation of shielding effectiveness was presented to predict more accurately the shielding effectiveness of honeycomb structure with hexagonal waveguide. The design equation of shielding effectiveness in honeycomb was represented from adding shielding effectiveness of single lattice to shielding effectiveness of infinite array of single lattice. This paper proposed the generalized design equation of shielding effectiveness by analyzing basis lattice of hexagonal waveguide which composes honeycomb structure and infinite array structure of basis lattice. To provide the validity of the modified design equation of shielding effectiveness in this paper, comparison with other available date using 3D EM commercial software is made.